Abstract
In this chapter we discuss some generalizations of the Hamiltonian variational principle concern ing the var ious that that can arise in applications. We shall cons ider in particular the cases in which the initi al or terminal configur at ions (or both) ar e not sp ecified . Also, it may happen that t he time interval in which the evolut iona ry process is t aking place is not given . For these cases the Hamiltonian principle usually produces charact eristic information about the boundary conditions and the tr ansversality conditions. In order to express a physical pr ocess corr ect ly, we sometimes must add some terms outs ide the sign of the action int egr al , and these ty pes of optimization problems are usu ally referred to as the pr oblems of Bolza.
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© 2004 Springer Science+Business Media New York
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Vujanovic, B.D., Atanackovic, T.M. (2004). Variable End Points, Natural Boundary Conditions, Bolza Problems. In: An Introduction to Modern Variational Techniques in Mechanics and Engineering. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8162-3_6
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DOI: https://doi.org/10.1007/978-0-8176-8162-3_6
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6467-5
Online ISBN: 978-0-8176-8162-3
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